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23033833032 = 23373115792801
BaseRepresentation
bin10101011100111011…
…000110011001001000
32012110021012221210010
4111130323012121020
5334133130124112
614325342551520
71443541231110
oct253473063110
965407187703
1023033833032
11984aaa8751
124569b985a0
1322310a6a02
1411871b8040
158ec29463c
hex55cec6648

23033833032 has 128 divisors (see below), whose sum is σ = 68001177600. Its totient is φ = 6362496000.

The previous prime is 23033833003. The next prime is 23033833033.

23033833032 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23033833033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8222032 + ... + 8224832.

It is an arithmetic number, because the mean of its divisors is an integer number (531259200).

Almost surely, 223033833032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23033833032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000588800).

23033833032 is an abundant number, since it is smaller than the sum of its proper divisors (44967344568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23033833032 is a wasteful number, since it uses less digits than its factorization.

23033833032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 23033833032 in words is "twenty-three billion, thirty-three million, eight hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1579 1736 2604 2801 3158 4737 5208 5602 6316 8403 9474 11053 11204 12632 16806 18948 19607 22106 22408 33159 33612 37896 39214 44212 48949 58821 66318 67224 78428 86831 88424 97898 117642 132636 146847 156856 173662 195796 235284 260493 265272 293694 342643 347324 391592 470568 520986 587388 607817 685286 694648 1027929 1041972 1174776 1215634 1370572 1823451 2055858 2083944 2431268 2741144 3646902 4111716 4422779 4862536 7293804 8223432 8845558 13268337 14587608 17691116 26536674 30959453 35382232 53073348 61918906 92878359 106146696 123837812 137106149 185756718 247675624 274212298 371513436 411318447 548424596 743026872 822636894 959743043 1096849192 1645273788 1919486086 2879229129 3290547576 3838972172 5758458258 7677944344 11516916516 23033833032